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112221121012 = 2271113298811097
BaseRepresentation
bin110100010000011100…
…1100110100111110100
3101201122212211121121021
41220200321212213310
53314312101333022
6123315332030524
711051641534630
oct1504071464764
9351585747537
10112221121012
1143657996210
12198ba762444
13a775714cb0
14560819bdc0
152dbc0d77c7
hex1a20e669f4

112221121012 has 192 divisors, whose sum is σ = 273331376640. Its totient is φ = 38887833600.

The previous prime is 112221121003. The next prime is 112221121013. The reversal of 112221121012 is 210121122211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112221121013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102297648 + ... + 102298744.

It is an arithmetic number, because the mean of its divisors is an integer number (1423600920).

Almost surely, 2112221121012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112221121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136665688320).

112221121012 is an abundant number, since it is smaller than the sum of its proper divisors (161110255628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112221121012 is a wasteful number, since it uses less digits than its factorization.

112221121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112221121012 its reverse (210121122211), we get a palindrome (322342243223).

It can be divided in two parts, 1122211 and 21012, that multiplied together give a palindrome (23579897532).

The spelling of 112221121012 in words is "one hundred twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, twelve".